Fraction Division 2: Equal Sharing Model for p/q ÷ b

2012-07-18 15:14
This applet visually demonstrates the equal sharing model of fraction division, showing that p/q divided by b equals p/q multiplied by 1/b. It helps students understand the underlying mathematical reasoning behind fraction division through dynamic geometric representations. When a fraction p/q is divided equally into b parts, the result is equivalent to finding 1/b of p/q. Users can interact with the applet and observe how line segments, circle sectors, and polygons are partitioned step by step. This transforms the abstract concept of fraction division into a concrete visual process, allowing learners to see exactly how the numerator and denominator transform during division. Through hands-on exploration, students can adjust the values of p, q, and b and watch in real time how the shapes are subdivided. This interactive experience reinforces the connection between division and multiplication, helping learners internalize the rule that dividing by a whole number is the same as multiplying by its reciprocal. The applet supports multiple geometric models, giving students different ways to visualize the same operation and building a deeper, more flexible understanding of fraction arithmetic.
In collections 分數乘法與除法
Fraction Division 2: Equal Sharing Model for p/q ÷ b
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